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Finding the Third Proportional to 269,658 and 388,431

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Solution

The third proportional to 269,658 and 388,431 is: 559,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,658 : 388,431 = 388,431 : x
  2. Step 2: Convert to fraction form
    269,658/388,431 = 388,431/x
  3. Step 3: Cross multiply
    269,658x = 388,431 × 388,431
  4. Step 4: Simplify right side
    269,658x = 150,878,641,761
  5. Step 5: Solve for x
    x = 150,878,641,761/269,658
  6. Step 6: Final answer
    x = 559,518.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.